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Finding the Fourth Proportional to 349,969.96, 482,954.34 and 199,066.60

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Solution

The fourth proportional to 349,969.96, 482,954.34 and 199,066.60 is: 274,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,969.96 : 482,954.34 = 199,066.60 : x
  2. Step 2: Convert to fraction form
    349,969.96/482,954.34 = 199,066.60/x
  3. Step 3: Cross multiply
    349,969.96x = 482,954.34 × 199,066.60
  4. Step 4: Simplify right side
    349,969.96x = 96,140,078,419.04
  5. Step 5: Solve for x
    x = 96,140,078,419.04/349,969.96
  6. Step 6: Final answer
    x = 274,709.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.